The Goodwillie tower for S[superscript 1] and Kuhn's Theorem
Name
Behrens_The Goodwillie.pdf
Size
339.3 KB
Format
Adobe PDF
Checksum (MD5)
477499abda38c9fc7c0ab31f85824a47
Author(s)
Behrens, Mark Joseph
Alternative Title
The Goodwillie tower for S¹ and Kuhn's Theorem
Date Issued
September 2011
Journal
Algebraic & Geometric Topology
Publisher
Mathematical Sciences Publishers
Citation
Behrens, Mark. “The Goodwillie Tower for S¹ and Kuhn’s Theorem.” Algebraic & Geometric Topology 11.4 (2011): 2453–2475. Web.
Version
Author's final manuscript
Abstract
We analyze the homological behavior of the attaching maps in the 2–local Goodwillie tower of
the identity evaluated at S¹. We show that they exhibit the same homological behavior
as the James–Hopf maps used by N Kuhn to prove the 2–primary Whitehead conjecture. We use this to prove a calculus form of the Whitehead conjecture: the Whitehead sequence is a contracting homotopy for the Goodwillie tower of S¹ at the prime 2.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.2140/agt.2011.11.2453
